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Finding the Third Proportional to 497,061 and 760,047

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Solution

The third proportional to 497,061 and 760,047 is: 1,162,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,061 : 760,047 = 760,047 : x
  2. Step 2: Convert to fraction form
    497,061/760,047 = 760,047/x
  3. Step 3: Cross multiply
    497,061x = 760,047 × 760,047
  4. Step 4: Simplify right side
    497,061x = 577,671,442,209
  5. Step 5: Solve for x
    x = 577,671,442,209/497,061
  6. Step 6: Final answer
    x = 1,162,174.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.